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Finding the Fourth Proportional to 11,977.40, 16,488.84 and 8,988.32

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Solution

The fourth proportional to 11,977.40, 16,488.84 and 8,988.32 is: 12,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.40 : 16,488.84 = 8,988.32 : x
  2. Step 2: Convert to fraction form
    11,977.40/16,488.84 = 8,988.32/x
  3. Step 3: Cross multiply
    11,977.40x = 16,488.84 × 8,988.32
  4. Step 4: Simplify right side
    11,977.40x = 148,206,970.35
  5. Step 5: Solve for x
    x = 148,206,970.35/11,977.40
  6. Step 6: Final answer
    x = 12,373.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.